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53602420 = 22519236133
BaseRepresentation
bin1100110001111…
…0100001110100
310201212021200211
43030132201310
5102210234140
65152515204
71220420164
oct314364164
9121767624
1053602420
1128291323
1215b4bb04
13b14a011
1471945a4
154a8c2ea
hex331e874

53602420 has 48 divisors (see below), whose sum is σ = 123661440. Its totient is φ = 19426176.

The previous prime is 53602403. The next prime is 53602421. The reversal of 53602420 is 2420635.

It is a happy number.

53602420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53602391 and 53602400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53602421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5674 + ... + 11806.

It is an arithmetic number, because the mean of its divisors is an integer number (2576280).

Almost surely, 253602420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53602420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61830720).

53602420 is an abundant number, since it is smaller than the sum of its proper divisors (70059020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53602420 is a wasteful number, since it uses less digits than its factorization.

53602420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 53602420 is about 7321.3673586291. The cubic root of 53602420 is about 377.0464004879.

The spelling of 53602420 in words is "fifty-three million, six hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 6133 8740 12266 24532 30665 61330 116527 122660 141059 233054 282118 466108 564236 582635 705295 1165270 1410590 2330540 2680121 2821180 5360242 10720484 13400605 26801210 53602420